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Answer:
The area of a regular hexagon with an apothem 10.4 yards long and side 12 yards long is 124.80 yards²
Step-by-step explanation:
Given : A regular hexagon with an apothem 10.4 yards long and side 12 yards long.
We have to find the area of a regular hexagon with an apothem 10.4 yards long and side 12 yards long.
Since, the Given hexagon is a regular hexagon.
So, each side make equal angle with mid point.
Thus, Area of each triangle =
base = 12 yards
height = 10.4 yards.
Thus, Area of each triangle =
Since, there are 6 triangles.
so area of hexagon = 6 × Area of triangle
area of hexagon = 6 × 62.4 = 124.8 yards²
Thus, The area of a regular hexagon with an apothem 10.4 yards long and side 12 yards long is 124.80 yards²
